Anisotropic Choquard problems with Stein–Weiss potential: nonlinear patterns and stationary waves

Weighted inequality theory for fractional integrals is a relatively less known branch of calculus that offers remarkable opportunities to simulate interdisciplinary processes. Basic weighted inequalities are often associated Hardy, Littlewood and Sobolev [6, 11], Caffarelli, Kohn Nirenberg [4], respectively Stein Weiss [12]. A key attempt in the present paper prove Stein–Weiss with lack symmetry variable exponents. We quantify defect potential by considering gap between minimum maximum exponent. conclude our work section dealing existence stationary waves class nonlocal problems Choquard nonlinearity anisotropic potential.